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Finding the Fourth Proportional to 153,103.66, 211,290.08 and 85,127.55

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Solution

The fourth proportional to 153,103.66, 211,290.08 and 85,127.55 is: 117,479.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,103.66 : 211,290.08 = 85,127.55 : x
  2. Step 2: Convert to fraction form
    153,103.66/211,290.08 = 85,127.55/x
  3. Step 3: Cross multiply
    153,103.66x = 211,290.08 × 85,127.55
  4. Step 4: Simplify right side
    153,103.66x = 17,986,606,849.70
  5. Step 5: Solve for x
    x = 17,986,606,849.70/153,103.66
  6. Step 6: Final answer
    x = 117,479.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.